Peer Two-Step Methods with Embedded Sensitivity Approximation for Parameter-Dependent ODEs

DOI10.1137/110843460zbMath1275.65040OpenAlexW1965265143MaRDI QIDQ4903753

Bernhard A. Schmitt, Ekaterina Kostina

Publication date: 24 January 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/200c8e8c91adad0e12819ee70227eb8060fd6cf8

zbMATH Keywords

stabilityconvergencesensitivity analysisnumerical examplesparameter identificationinitial value problemstiff equationsshooting methodsnonstiff equationspeer two-step methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)

Related Items (2)

Reprint of: Peer methods with improved embedded sensitivities for parameter-dependent ODEs ⋮ Krylov Approximation of Linear ODEs with Polynomial Parameterization

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